Report of the fit

Fit summary

Description: PV19 version x
Minimiser: minuit
Random seed: 1234
Maximum values allowed for q_T / Q: 0.2
Percentile cut: 5
Parameterisation: PV19x
Initial parameters fluctuations: False
Explicit formula:

f_{\rm NP}(x,\zeta, b_T)= \Biggl( \frac{1-\lambda}{1 + g_1(x) b_T^2/4} + \lambda \exp \left(-g_{1B}(x) b_T^2 / 4 \right)\Biggr) \exp\left[- g_2 \log\left(\frac{\zeta}{Q_0^2}\right) b_T^2/4 - g_{2B} \log\left(\frac{\zeta}{Q_0^2}\right) b_T^4/4 \right]g_1(x) = \frac{N_1}{x\sigma} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha}\right)}{2 \sigma^2} \right]g_{1B}(x) = \frac{N_{1B}}{x\sigma_B} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha_B}\right)}{2 \sigma_B^2} \right]Q_0^2 = 1\;{\rm GeV}^2 t_0 prescription: True

g_2 N_1 \alpha \sigma \lambda N_{1B} \alpha_B \sigma_B g_{2B}
-0.12888952690134006 91.74095932969549 12.526931171081408 1.4247489878765083 0.6251785622131765 0.019079068270586277 0.17976965405632592 0.0035122870971983342 0.05065103223663239

Theory summary

Collinear PDF set: MMHT2014nlo68cl member 0
Collinear FF set: DSS14_NLO_PiSum member 0
b^* prescription: bstarmin
Perturbative order: NLLp
Reference value of the fine-structure constant: \alpha(Q = 91.1876\;{\rm GeV}) = 0.00776578395589 (running True)

Global statistical estimators

N_{rep} = 228
\chi_{0}^2 = 3.3555
\chi_{mean}^2 = 3.4854
\langle\chi^2\rangle \pm \sigma_{\chi^2} = 3.3733 \pm 0.0119
\langle E \rangle \pm \sigma_{E} = 4.3894 \pm 0.2463

Parameters

Parameter Central replica Average over replicas Fixed
g_2 -0.12889322 -0.12991164 \pm 0.00835443 False
N_1 91.716743 403.58581358 \pm 1010.84882896 False
\alpha 12.528453 37.95318179 \pm 85.08751978 False
\sigma 1.424713 1.35231661 \pm 0.29149479 False
\lambda 0.62524085 0.62454973 \pm 0.04382257 False
N_{1B} 0.019078395 0.02081679 \pm 0.00695772 False
\alpha_B 0.17976964 0.17976725 \pm 7.303e-05 False
\sigma_B 0.0035122548 0.00357199 \pm 0.00057156 False
g_{2B} 0.050650192 0.05127054 \pm 0.00561024 False
Fitted parameter correlation matrix

Fit properties

Global \chi^2 distribution
Global error function distribution
g_2 distribution
N_1 distribution
\alpha distribution
\sigma distribution
\lambda distribution
N_{1B} distribution
\alpha_B distribution
\sigma_B distribution
g_{2B} distribution

Table of \chi^2’s

Central-replica \chi^2’s:
Experiment Number of points \chi_{D}^2 \chi_{\lambda}^2 \chi^2
E605_Q_7_8 7 0.4839 0.2412 0.7251
E605_Q_8_9 8 0.9083 0.0547 0.963
E605_Q_10.5_11.5 10 0.6148 0.0095 0.6243
E288_200_Q_4_5 4 1.2466 0.528 1.7746
E288_200_Q_5_6 5 3.2561 0.5052 3.7613
E288_200_Q_6_7 6 1.4624 0.1413 1.6037
E288_200_Q_7_8 7 1.4923 0.0012 1.4936
E288_200_Q_8_9 8 0.8439 0.0635 0.9074
E288_300_Q_4_5 4 0.9757 0.0717 1.0474
E288_300_Q_5_6 5 1.9994 0.0615 2.0608
E288_300_Q_6_7 6 1.6413 0.0001 1.6414
E288_300_Q_7_8 7 0.7176 0.0011 0.7187
E288_300_Q_8_9 8 0.4012 0.0054 0.4066
E288_400_Q_5_6 5 1.4252 0.0054 1.4306
E288_400_Q_6_7 6 0.935 0.0931 1.0281
E288_400_Q_7_8 7 0.6015 0.1087 0.7102
E288_400_Q_8_9 8 0.814 0.1021 0.9161
E288_400_Q_11_12 11 0.6538 0.0552 0.709
E288_400_Q_12_13 12 0.6842 0.0612 0.7453
E288_400_Q_13_14 12 0.6011 0.1312 0.7323
STAR_510 7 1.6972 0.0307 1.7279
CDF_RunI 25 0.9002 0.2563 1.1565
CDF_RunII 26 1.47 0.031 1.501
D0_RunI 12 0.7745 0.0101 0.7846
D0_RunII 5 0.8741 0.0074 0.8816
D0_RunIImu 3 1.01 0.2126 1.2226
LHCb_7TeV 7 2.093 1.4614 3.5545
LHCb_8TeV 7 2.3263 2.7051 5.0314
LHCb_13TeV 7 1.8101 0.5763 2.3864
CMS_7TeV 4 5.4449 0 5.4449
CMS_8TeV 4 2.2611 0.4208 2.6819
ATLAS_7TeV_y_0_1 6 16.1993 4.9841 21.1834
ATLAS_7TeV_y_1_2 6 11.7886 2.5815 14.3701
ATLAS_7TeV_y_2_2.4 6 3.4312 0.1712 3.6024
ATLAS_8TeV_y_0_0.4 6 12.2446 3.8885 16.133
ATLAS_8TeV_y_0.4_0.8 6 16.4956 5.9742 22.4698
ATLAS_8TeV_y_0.8_1.2 6 11.144 2.1973 13.3414
ATLAS_8TeV_y_1.2_1.6 6 7.1616 1.6993 8.8609
ATLAS_8TeV_y_1.6_2 6 6.0733 2.1593 8.2327
ATLAS_8TeV_y_2_2.4 6 2.6243 0.7494 3.3737
ATLAS_8TeV_Q_46_66 4 2.1103 0.3467 2.457
ATLAS_8TeV_Q_116_150 8 3.4324 0.1062 3.5386
Total 319 - - 3.3555
Mean-replica \chi^2’s:
Experiment Number of points \chi_{D}^2 \chi_{\lambda}^2 \chi^2
E605_Q_7_8 7 0.8372 0.445 1.2822
E605_Q_8_9 8 1.508 0.3265 1.8346
E605_Q_10.5_11.5 10 0.584 0.0039 0.5879
E288_200_Q_4_5 4 0.6616 0.2353 0.8969
E288_200_Q_5_6 5 1.9697 0.1335 2.1032
E288_200_Q_6_7 6 0.9723 0.0772 1.0495
E288_200_Q_7_8 7 1.4394 0.0015 1.4409
E288_200_Q_8_9 8 1.317 0.0634 1.3804
E288_300_Q_4_5 4 0.7729 0.0309 0.8037
E288_300_Q_5_6 5 1.8028 0.0014 1.8041
E288_300_Q_6_7 6 1.6813 0.0016 1.6829
E288_300_Q_7_8 7 0.688 0.0 0.688
E288_300_Q_8_9 8 0.3757 0.0016 0.3773
E288_400_Q_5_6 5 1.8254 0.1522 1.9775
E288_400_Q_6_7 6 1.3899 0.1863 1.5763
E288_400_Q_7_8 7 0.9495 0.2257 1.1752
E288_400_Q_8_9 8 1.3818 0.2056 1.5873
E288_400_Q_11_12 11 1.1433 0.0836 1.2269
E288_400_Q_12_13 12 1.2392 0.0724 1.3116
E288_400_Q_13_14 12 1.4606 0.1358 1.5964
STAR_510 7 1.5189 0.0848 1.6037
CDF_RunI 25 0.7509 0.2391 0.99
CDF_RunII 26 2.0335 0.0256 2.059
D0_RunI 12 0.7929 0.0137 0.8066
D0_RunII 5 2.4663 0.0157 2.4819
D0_RunIImu 3 0.9252 0.4525 1.3778
LHCb_7TeV 7 1.7368 1.4151 3.1519
LHCb_8TeV 7 2.0111 2.4991 4.5102
LHCb_13TeV 7 1.6009 0.5119 2.1128
CMS_7TeV 4 5.4368 0 5.4368
CMS_8TeV 4 2.2855 0.4288 2.7143
ATLAS_7TeV_y_0_1 6 16.3103 4.9746 21.2849
ATLAS_7TeV_y_1_2 6 11.6522 2.5899 14.242
ATLAS_7TeV_y_2_2.4 6 3.3746 0.1719 3.5465
ATLAS_8TeV_y_0_0.4 6 12.2864 3.9466 16.2331
ATLAS_8TeV_y_0.4_0.8 6 16.3078 6.0892 22.397
ATLAS_8TeV_y_0.8_1.2 6 11.1425 2.2308 13.3733
ATLAS_8TeV_y_1.2_1.6 6 7.1081 1.7139 8.822
ATLAS_8TeV_y_1.6_2 6 5.9251 2.1559 8.0809
ATLAS_8TeV_y_2_2.4 6 2.5617 0.7477 3.3094
ATLAS_8TeV_Q_46_66 4 1.9896 0.3788 2.3683
ATLAS_8TeV_Q_116_150 8 3.3873 0.1107 3.4979
Total 319 - - 3.4854
Average-over-replicas \chi^2’s:
Experiment Number of points \chi^2
E605_Q_7_8 7 0.7278 \pm 0.0816
E605_Q_8_9 8 0.9928 \pm 0.0541
E605_Q_10.5_11.5 10 0.6709 \pm 0.0738
E288_200_Q_4_5 4 1.807 \pm 0.1734
E288_200_Q_5_6 5 3.7914 \pm 0.2323
E288_200_Q_6_7 6 1.6255 \pm 0.1796
E288_200_Q_7_8 7 1.5141 \pm 0.1839
E288_200_Q_8_9 8 0.9236 \pm 0.096
E288_300_Q_4_5 4 1.0672 \pm 0.1085
E288_300_Q_5_6 5 2.0849 \pm 0.193
E288_300_Q_6_7 6 1.6589 \pm 0.2379
E288_300_Q_7_8 7 0.7369 \pm 0.1564
E288_300_Q_8_9 8 0.4215 \pm 0.038
E288_400_Q_5_6 5 1.4477 \pm 0.2064
E288_400_Q_6_7 6 1.0532 \pm 0.2789
E288_400_Q_7_8 7 0.7487 \pm 0.2786
E288_400_Q_8_9 8 0.9611 \pm 0.2072
E288_400_Q_11_12 11 0.7346 \pm 0.1291
E288_400_Q_12_13 12 0.7633 \pm 0.0929
E288_400_Q_13_14 12 0.7401 \pm 0.1046
STAR_510 7 1.7096 \pm 0.0967
CDF_RunI 25 1.164 \pm 0.0342
CDF_RunII 26 1.545 \pm 0.1274
D0_RunI 12 0.7922 \pm 0.0592
D0_RunII 5 0.9632 \pm 0.1696
D0_RunIImu 3 1.283 \pm 0.1116
LHCb_7TeV 7 3.5764 \pm 0.0898
LHCb_8TeV 7 5.1013 \pm 0.1901
LHCb_13TeV 7 2.4161 \pm 0.0608
CMS_7TeV 4 5.4388 \pm 0.0541
CMS_8TeV 4 2.6712 \pm 0.078
ATLAS_7TeV_y_0_1 6 21.1624 \pm 0.3509
ATLAS_7TeV_y_1_2 6 14.3538 \pm 0.3184
ATLAS_7TeV_y_2_2.4 6 3.6116 \pm 0.0837
ATLAS_8TeV_y_0_0.4 6 16.1183 \pm 0.2547
ATLAS_8TeV_y_0.4_0.8 6 22.4751 \pm 0.2639
ATLAS_8TeV_y_0.8_1.2 6 13.3231 \pm 0.2157
ATLAS_8TeV_y_1.2_1.6 6 8.8463 \pm 0.1688
ATLAS_8TeV_y_1.6_2 6 8.2322 \pm 0.2284
ATLAS_8TeV_y_2_2.4 6 3.3718 \pm 0.1323
ATLAS_8TeV_Q_46_66 4 2.4541 \pm 0.109
ATLAS_8TeV_Q_116_150 8 3.5441 \pm 0.0575
Total 319 3.3733 \pm 0.0119

TMDs in k_T space

TMD PDF of the d at Q = 2 GeV and x = 0.001
TMD PDF of the d at Q = 2 GeV and x = 0.01
TMD PDF of the d at Q = 2 GeV and x = 0.1
TMD PDF of the d at Q = 2 GeV and x = 0.5
TMD PDF of the d at Q = 2 GeV and x = 0.9

Data-theory comparison

E605_Q_7_8 data-theory comparison
E605_Q_8_9 data-theory comparison
E605_Q_10.5_11.5 data-theory comparison
E288_200_Q_4_5 data-theory comparison
E288_200_Q_5_6 data-theory comparison
E288_200_Q_6_7 data-theory comparison
E288_200_Q_7_8 data-theory comparison
E288_200_Q_8_9 data-theory comparison
E288_300_Q_4_5 data-theory comparison
E288_300_Q_5_6 data-theory comparison
E288_300_Q_6_7 data-theory comparison
E288_300_Q_7_8 data-theory comparison
E288_300_Q_8_9 data-theory comparison
E288_400_Q_5_6 data-theory comparison
E288_400_Q_6_7 data-theory comparison
E288_400_Q_7_8 data-theory comparison
E288_400_Q_8_9 data-theory comparison
E288_400_Q_11_12 data-theory comparison
E288_400_Q_12_13 data-theory comparison
E288_400_Q_13_14 data-theory comparison
STAR_510 data-theory comparison
CDF_RunI data-theory comparison
CDF_RunII data-theory comparison
D0_RunI data-theory comparison
D0_RunII data-theory comparison
D0_RunIImu data-theory comparison
LHCb_7TeV data-theory comparison
LHCb_8TeV data-theory comparison
LHCb_13TeV data-theory comparison
CMS_7TeV data-theory comparison
CMS_8TeV data-theory comparison
ATLAS_7TeV_y_0_1 data-theory comparison
ATLAS_7TeV_y_1_2 data-theory comparison
ATLAS_7TeV_y_2_2.4 data-theory comparison
ATLAS_8TeV_y_0_0.4 data-theory comparison
ATLAS_8TeV_y_0.4_0.8 data-theory comparison
ATLAS_8TeV_y_0.8_1.2 data-theory comparison
ATLAS_8TeV_y_1.2_1.6 data-theory comparison
ATLAS_8TeV_y_1.6_2 data-theory comparison
ATLAS_8TeV_y_2_2.4 data-theory comparison
ATLAS_8TeV_Q_46_66 data-theory comparison
ATLAS_8TeV_Q_116_150 data-theory comparison